Can SMSFs bypass SUPERStream?

Yes they can.  This would be achieved by employer contributions subject to SUPERStreaming being first contributed to an APRA regulated fund, accumulated in that fund and, then rolled over/transferred to the SMSF.

The downside is the administrative burden of maintaining such arrangements and the transaction costs involved.  These considerations may make such arrangements uneconomic or unattractive.  Additionally, the APRA regulated fund could adopt an unpleasant attitude – the poor dear may think it is being exploited!